# A note on the maximum size of a closed epidemic

Barbour, A D (1975). A note on the maximum size of a closed epidemic. Royal Statistical Society. Journal. Series B: Statistical Methodology, 37(3):459-460.

## Abstract

Daniels successfully approximated the distribution of the maximum number of infectives during an epidemic in a closed population, by reducing the problem to a curved boundary problem for Brownian motion. The purpose of this note is to present a simpler way of tackling the latter problem, using the invariance properties of Brownian motion.

## Abstract

Daniels successfully approximated the distribution of the maximum number of infectives during an epidemic in a closed population, by reducing the problem to a curved boundary problem for Brownian motion. The purpose of this note is to present a simpler way of tackling the latter problem, using the invariance properties of Brownian motion.